Evaluate
282.12
Factor
\frac{3 \cdot 2351}{5 ^ {2}} = 282\frac{3}{25} = 282.12
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132.1+71.4+67.9+\frac{53.6}{5}
Add 57.1 and 75 to get 132.1.
203.5+67.9+\frac{53.6}{5}
Add 132.1 and 71.4 to get 203.5.
271.4+\frac{53.6}{5}
Add 203.5 and 67.9 to get 271.4.
271.4+\frac{536}{50}
Expand \frac{53.6}{5} by multiplying both numerator and the denominator by 10.
271.4+\frac{268}{25}
Reduce the fraction \frac{536}{50} to lowest terms by extracting and canceling out 2.
\frac{1357}{5}+\frac{268}{25}
Convert decimal number 271.4 to fraction \frac{2714}{10}. Reduce the fraction \frac{2714}{10} to lowest terms by extracting and canceling out 2.
\frac{6785}{25}+\frac{268}{25}
Least common multiple of 5 and 25 is 25. Convert \frac{1357}{5} and \frac{268}{25} to fractions with denominator 25.
\frac{6785+268}{25}
Since \frac{6785}{25} and \frac{268}{25} have the same denominator, add them by adding their numerators.
\frac{7053}{25}
Add 6785 and 268 to get 7053.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}